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Results tagged with power-series
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user 86142
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Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$
Define function $f(x,y,t)$ as the analytic continuation of the series
$$f(x,y,t)=\sum_{n,m\ge0}x^ny^mt^{nm}$$
This series definitely converges when all the arguments are small enough. I would like to …
- 319
1
vote
Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$
I though it is worth pointing out a closely related case which appears to be solvable. The following formula is due to paper http://arxiv.org/abs/math/9904126 (formula (11) with slight relabeling and …
- 319